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Finding the Fourth Proportional to 8,356.81, 11,526.87 and 5,376.43

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Solution

The fourth proportional to 8,356.81, 11,526.87 and 5,376.43 is: 7,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.81 : 11,526.87 = 5,376.43 : x
  2. Step 2: Convert to fraction form
    8,356.81/11,526.87 = 5,376.43/x
  3. Step 3: Cross multiply
    8,356.81x = 11,526.87 × 5,376.43
  4. Step 4: Simplify right side
    8,356.81x = 61,973,409.67
  5. Step 5: Solve for x
    x = 61,973,409.67/8,356.81
  6. Step 6: Final answer
    x = 7,415.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.